
"""simple docstring"""


from __future__ import annotations



def 						lowerCamelCase__      (				UpperCAmelCase_		,   UpperCAmelCase_ = None					)->				list[list[str]]:







       """simple docstring"""
       UpperCamelCase       			=		word_bank or []
       # create a table
       UpperCamelCase       			=		len(UpperCAmelCase_					) + 1

       UpperCamelCase       			=		[]
       for _ in range(UpperCAmelCase_					):
              table.append([]					)
       # seed value
       UpperCamelCase       			=		[[]]  # because empty string has empty combination

       # iterate through the indices
       for i in range(UpperCAmelCase_					):
              # condition
              if table[i] != []:
                     for word in word_bank:
                            # slice condition
                            if target[i : i + len(UpperCAmelCase_					)] == word:
                                   UpperCamelCase       			=		[
                                       [word, *way] for way in table[i]
                                   ]
                                   # adds the word to every combination the current position holds
                                   # now,push that combination to the table[i+len(word)]
                                   table[i + len(UpperCAmelCase_					)] += new_combinations

    # combinations are in reverse order so reverse for better output
       for combination in table[len(UpperCAmelCase_					)]:
              combination.reverse()

       return table[len(UpperCAmelCase_					)]


if __name__ == "__main__":
      print(all_construct("""jwajalapa""", ["""jwa""", """j""", """w""", """a""", """la""", """lapa"""]))
      print(all_construct("""rajamati""", ["""s""", """raj""", """amat""", """raja""", """ma""", """i""", """t"""]))
      print(
          all_construct(
              """hexagonosaurus""",
              ["""h""", """ex""", """hex""", """ag""", """ago""", """ru""", """auru""", """rus""", """go""", """no""", """o""", """s"""],
          )
      )







"""simple docstring"""


def 						lowerCamelCase__      (				UpperCAmelCase_ = 60_08_51_47_51_43					)->				int:







       """simple docstring"""

       try:
              UpperCamelCase       			=		int(UpperCAmelCase_					)
       except (TypeError, ValueError):
              raise TypeError("Parameter n must be int or castable to int."					)
       if n <= 0:
              raise ValueError("Parameter n must be greater than or equal to one."					)
       UpperCamelCase       			=		2
       UpperCamelCase       			=		0
       if n == 2:
              return 2
       while n > 2:
              while n % i != 0:
                     i += 1
              UpperCamelCase       			=		i
              while n % i == 0:
                     UpperCamelCase       			=		n // i
              i += 1
       return int(UpperCAmelCase_					)


if __name__ == "__main__":
      print(F'''{solution() = }''')





